Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Simulations on infinite-size lattices.

H G Evertz¹, W von der Linden

¹Institut für Theoretische Physik, Technische Universität Graz, 8010 Graz, Austria.

Physical Review Letters

|June 1, 2001

Summary

This summary is machine-generated.

We developed a new Monte Carlo method for simulating infinite-sized quantum systems. This approach enables direct calculation of dynamical properties and correlation functions, advancing computational physics research.

Related Experiment Videos

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Time evolution within a comoving window: scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains.

Journal of physics. Condensed matter : an Institute of Physics journal·2015

Same author

Observation of complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches.

Physical review letters·2012

Same author

Reconstruction of surfaces from phase-shifting speckle interferometry: Bayesian approach.

Applied optics·2008

Same author

Creation and destruction of a spin gap in weakly coupled quarter-filled ladders.

Physical review letters·2006

Same author

Signal and background separation.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002

Same author

Analysis of multicomponent mass spectra applying Bayesian probability theory.

Journal of mass spectrometry : JMS·2001

Area of Science:

Computational Physics
Statistical Mechanics
Quantum Many-Body Systems

Background:

Existing cluster algorithms have limitations in simulating infinite systems.
Simulating quantum models at high temperatures (beta = infinity) is computationally challenging.

Purpose of the Study:

To introduce a modified Monte Carlo method for direct simulation of infinite-sized systems.
To enable the calculation of dynamical information and two-point functions.
To extend simulations to quantum models at beta = infinity.

Main Methods:

Modification of existing cluster algorithms.
Application of Monte Carlo simulations.
Direct calculation of two-point functions, including dynamical information.

Main Results:

The method allows direct simulations on systems of infinite size.
Dynamical information and correlation functions at larger distances are obtainable.
The method successfully calculates spectra for the 2D Ising model and Heisenberg quantum spin ladders.

Conclusions:

The developed Monte Carlo method offers a powerful tool for simulating infinite quantum systems.
It provides direct access to dynamical properties and correlation functions.
The method is applicable to various quantum models, demonstrating its versatility.